Rojas Gray
10/18/2023 · Senior High School

Raymond works for a pharmaceutical company that is testing the effectiveness of a new medication. He gave one of the study participants 400 milligrams of the medication, and he knows the amount remaining in the participant's body will decrease by \( \frac{1}{3} \) each hour. Write an exponential equation in the form \( y=a(b)^{x} \) that can model the amount of medication, \( y \), remaining in the participant's body after \( x \) hours. Use whole numbers, decimals, or simplified fractions for the values of a and \( b \). \( y=\square \)

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\( y = 400 \left( \frac{2}{3} \right)^x \)

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